Black holes provide theoreticians with an important theoretical laboratory to test ideas. Conditions within a black hole are so extreme, that by analyzing aspects of black holes we see space and time in an exotic environment, one that has shed important, and sometimes perplexing, new light on their fundamental nature.
Brian GreenePhysicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Brian GreeneOver the centuries, monumental upheavals in science have emerged time and again from following the leads set out by mathematics.
Brian GreeneEinstein comes along and says, space and time can warp and curve, that's what gravity is. Now string theory comes along and says, yes, gravity, quantum mechanics, electromagnetism - all together in one package, but only if the universe has more dimensions than the ones that we see.
Brian Greene